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An aerial photograph of a terrain having an average elevation of 1400 m is taken at a scale of 1:7500. The focal length of the camera is 15 cm. The altitude of the flight above mean sea level (in m, up to one decimal place) is ___________
    Correct answer is '(2525)'. Can you explain this answer?
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    An aerial photograph of a terrain having an average elevation of 1400 ...
    h = 1400 m
    Scale 1 : 7500
    f = 15 cm

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    An aerial photograph of a terrain having an average elevation of 1400 ...
    Given:

    • Average elevation of terrain = 1400 m

    • Scale of photograph = 1:7500

    • Focal length of camera = 15 cm



    To Find:

    • Altitude of flight above mean sea level (in m)



    Explanation:

    • The scale of the photograph indicates that 1 cm on the photograph represents 7500 cm or 75 m on the ground.

    • Let the altitude of the flight above mean sea level be h.

    • Using the similar triangles formed by the camera, the terrain and the ground, we can write:








    • Here, h is the altitude of the flight, d is the distance between the camera and the terrain, and D is the distance between the camera and the ground.

    • Using the focal length of the camera, we can write:








    • Here, f is the focal length, h' is the altitude of the camera above mean sea level, and h + h' is the altitude of the flight above mean sea level.

    • Substituting the value of D from the first equation into the second equation, we get:








    • Solving for h, we get:







    Answer:

    • Substituting the given values, we get:








    • Therefore, the altitude of the flight above mean sea level is 2525 m.

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    An aerial photograph of a terrain having an average elevation of 1400 m is taken at a scale of 1:7500. The focal length of the camera is 15 cm. The altitude of the flight above mean sea level (in m, up to one decimal place) is ___________Correct answer is '(2525)'. Can you explain this answer?
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    An aerial photograph of a terrain having an average elevation of 1400 m is taken at a scale of 1:7500. The focal length of the camera is 15 cm. The altitude of the flight above mean sea level (in m, up to one decimal place) is ___________Correct answer is '(2525)'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about An aerial photograph of a terrain having an average elevation of 1400 m is taken at a scale of 1:7500. The focal length of the camera is 15 cm. The altitude of the flight above mean sea level (in m, up to one decimal place) is ___________Correct answer is '(2525)'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aerial photograph of a terrain having an average elevation of 1400 m is taken at a scale of 1:7500. The focal length of the camera is 15 cm. The altitude of the flight above mean sea level (in m, up to one decimal place) is ___________Correct answer is '(2525)'. Can you explain this answer?.
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